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math-ph2023
On periodic solutions and attractors for the Maxwell--Bloch equations
Alexander Komech
We consider the Maxwell-Bloch system which is a finite-dimensional approximation of the coupled nonlinear Maxwell-Schrödinger equations. The approximation consists of one-mode Maxw…
math-ph2009★ 2 cited
On global attraction to quantum stationary states. Dirac equation with mean field interaction
Alexander Komech, Andrew Komech
We consider a U(1)-invariant nonlinear Dirac equation in dimension , interacting with itself via the mean field mechanism. We analyze the long-time asymptotics of solutions an…
math-ph2007
Global attraction to solitary waves for Klein-Gordon equation with mean field interaction
Alexander Komech, Andrew Komech
We consider a U(1)-invariant nonlinear Klein-Gordon equation in dimension one or larger, self-interacting via the mean field mechanism. We analyze the long-time asymptotics of fini…